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The distance on a set is a comparative function. The smaller the distance between two elements of that set, the closer, or more similar, those elements are. Fr\'echet axiomatized the distance into what is today known as a metric. In this…

General Topology · Mathematics 2016-07-05 Samer Assaf

Categorical variables are of uttermost importance in biomedical research. When two of them are considered, it is often the case that one wants to test whether or not they are statistically dependent. We show weaknesses of classical methods…

Reliability is an essential measure of how closely observed scores represent latent scores (reflecting constructs), assuming some latent variable measurement model. We present a general theoretical framework of reliability, placing emphasis…

Methodology · Statistics 2024-10-29 Yang Liu , Jolynn Pek , Alberto Maydeu-Olivares

Strategic classification regards the problem of learning in settings where users can strategically modify their features to improve outcomes. This setting applies broadly and has received much recent attention. But despite its practical…

Machine Learning · Computer Science 2021-06-15 Sagi Levanon , Nir Rosenfeld

Learning the similarity between images constitutes the foundation for numerous vision tasks. The common paradigm is discriminative metric learning, which seeks an embedding that separates different training classes. However, the main…

Computer Vision and Pattern Recognition · Computer Science 2021-09-10 Timo Milbich , Karsten Roth , Biagio Brattoli , Björn Ommer

Given a black-box classification model and an unlabeled evaluation dataset from some application domain, efficient strategies need to be developed to evaluate the model. Random sampling allows a user to estimate metrics like accuracy,…

Machine Learning · Computer Science 2021-02-26 Walter Bennette , Sally Dufek , Karsten Maurer , Sean Sisti , Bunyod Tusmatov

In variable selection, a selection rule that prescribes the permissible sets of selected variables (called a "selection dictionary") is desirable due to the inherent structural constraints among the candidate variables. Such selection rules…

Methodology · Statistics 2024-01-17 Guanbo Wang , Mireille E. Schnitzer , Tom Chen , Rui Wang , Robert W. Platt

Social science research often hinges on the relationship between categorical variables and outcomes. We introduce CAVIAR, a novel method for embedding categorical variables that assume values in a high-dimensional ambient space but are…

Econometrics · Economics 2024-04-12 Anirban Mukherjee , Hannah Hanwen Chang

We present a conceptual framework that unifies a variety of evaluation metrics for different structured prediction tasks (e.g. event and relation extraction, syntactic and semantic parsing). Our framework requires representing the outputs…

Computation and Language · Computer Science 2023-10-24 Yunmo Chen , William Gantt , Tongfei Chen , Aaron Steven White , Benjamin Van Durme

We consider the problem of classification using similarity/distance functions over data. Specifically, we propose a framework for defining the goodness of a (dis)similarity function with respect to a given learning task and propose…

Machine Learning · Computer Science 2015-03-19 Purushottam Kar , Prateek Jain

Contextual features are important data sources for building citywide crowd mobility prediction models. However, the difficulty of applying context lies in the unknown generalizability of contextual features (e.g., weather, holiday, and…

Machine Learning · Computer Science 2024-12-19 Liyue Chen , Xiaoxiang Wang , Leye Wang

Time series data is prevalent in a wide variety of real-world applications and it calls for trustworthy and explainable models for people to understand and fully trust decisions made by AI solutions. We consider the problem of building…

Machine Learning · Computer Science 2020-11-25 Tsung-Yu Hsieh , Suhang Wang , Yiwei Sun , Vasant Honavar

The citation impact of a scientific publication is usually seen as a one-dimensional concept. We introduce a multi-dimensional framework for characterizing the citation impact of a publication. In addition to the level of citation impact,…

Digital Libraries · Computer Science 2020-11-24 Yi Bu , Ludo Waltman , Yong Huang

Computing derivatives of noisy measurement data is ubiquitous in the physical, engineering, and biological sciences, and it is often a critical step in developing dynamic models or designing control. Unfortunately, the mathematical…

Dynamical Systems · Mathematics 2020-09-09 Floris van Breugel , J. Nathan Kutz , Bingni W. Brunton

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a high-dimensional space and concepts are represented by regions in this space. Our recent…

Artificial Intelligence · Computer Science 2017-12-08 Lucas Bechberger , Kai-Uwe Kühnberger

Probabilistic classifiers output a probability distribution on target classes rather than just a class prediction. Besides providing a clear separation of prediction and decision making, the main advantage of probabilistic models is their…

Machine Learning · Computer Science 2019-02-20 Juozas Vaicenavicius , David Widmann , Carl Andersson , Fredrik Lindsten , Jacob Roll , Thomas B. Schön

Quantification is the machine learning task of estimating test-data class proportions that are not necessarily similar to those in training. Apart from its intrinsic value as an aggregate statistic, quantification output can also be used to…

Machine Learning · Computer Science 2016-06-06 Aykut Firat

I present a framework based on the concepts of diversity and coherence for the analysis of knowledge integration and diffusion. Visualisations that help understand insights gained are also introduced. The key novelty offered by this…

Physics and Society · Physics 2014-12-23 Ismael Rafols

Distance metric learning is an important component for many tasks, such as statistical classification and content-based image retrieval. Existing approaches for learning distance metrics from pairwise constraints typically suffer from two…

Machine Learning · Computer Science 2012-06-26 Liu Yang , Rong Jin , Rahul Sukthankar

Existing methods for differentiable structure learning in discrete data typically assume that the data are generated from specific structural equation models. However, these assumptions may not align with the true data-generating process,…

Machine Learning · Computer Science 2025-10-28 Chang Deng , Bryon Aragam